A modification of Wythoff's Nim

2019/04/17 by Fokkink, Robbert, Rust, Dan
#68R15 #91A46 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.08339

Abstract

We modify Wythoff's game by allowing an additional move, which we call a "split", and show how the P-positions are coded by the Tribonacci word. We analyze the table of letter positions of arbitrary k-bonacci words and find a mex-rule that generates the Quadribonacci table.

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